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Complexity}, VOLUME = {23}, NUMBER = {2}, PAGES = {217-224}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {complexity, p-adic numbers, basic sets}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MFTVK6-1/1/f1750512954a6bc99a5e92a9c83be41a}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Kaltenbacher/07, AUTHOR = {Kaltenbacher, Barbara}, TITLE = {Regularization by truncated Cholesky factorization: A comparison of four different approaches}, JOURNAL = {J. 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Complexity}, VOLUME = {23}, NUMBER = {2}, PAGES = {245-261}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {conic programming, condition numbers, interior-point methods}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MY0MGH-3/1/6428505e72b52c31e790bc986d6db704}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Gnewuch-Wozniakowski/07, AUTHOR = {Gnewuch, Michael and Wo{\'z}niakowski, Henryk}, TITLE = {Generalized tractability for multivariate problems --- Part I: Linear tensor product problems and linear information}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {2}, PAGES = {262-295}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {tractability, multivariate problem, tensor product problem, information-based complexity, linear information}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4KJV33C-1/1/e05578e5efa03d8b44efc7acbe34b1e6}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Calafiore-Dabbene-Tempo/07, AUTHOR = {Calafiore, Giuseppe and Dabbene, Fabrizio and Tempo, Roberto}, TITLE = {A survey of randomized algorithms for control synthesis and performance verification}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {3}, PAGES = {301-316}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {complex control systems, randomized algorithms}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MY0MGH-2/1/d8efbd5875b7aef9141b1655cd6455f2}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Bournez-Campagnolo-Graca-Hainry/07, AUTHOR = {Bournez, Olivier and Campagnolo, Manuel L. and Gra{\c{c}}a, Daniel S. and Hainry, Emmanuel}, TITLE = {Polynomial differential equations compute all real computable functions on computable compact intervals}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {3}, PAGES = {317-335}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {analog computation, computable analysis, general purpose analog computer, church-turing thesis, differential equations}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4N0PPTM-1/1/b2f97cc0584418785de97c39ccaa6832}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Smarzewski-Kapusta/07, AUTHOR = {Smarzewski, Ryszard and Kapusta, Joanna}, TITLE = {Fast Lagrange-Newton transformations}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {3}, PAGES = {336-345}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {fast algorithms, lagrange-newton transformation, special configurations of knots, threshold secret sharing scheme, computational complexity}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MY0MGH-4/1/0128f5ecbf9cd48d1265c25b48eb7d84}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Babenko-Borodachov/07, AUTHOR = {Babenko, V.F. and Borodachov, S.V.}, TITLE = {On the construction of optimal cubature formulae which use integrals over hyperspheres}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {3}, PAGES = {346-358}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {optimal cubature formula, class of functions, worst case error}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4N85B4B-2/1/537bbdc7c977e41ed6ba2b5bea784734}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Scheiblechner/07, AUTHOR = {Scheiblechner, Peter}, TITLE = {On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {3}, PAGES = {359-379}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {connected components, betti numbers, pspace, lower bounds}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4NJ209N-1/1/ac0bc85c348f183e3764917bc7cf2fa5}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Cheze-Lecerf/07, AUTHOR = {Ch{\'e}ze, Guillaume and Lecerf, Gr{\'e}goire}, TITLE = {Lifting and recombination techniques for absolute factorization}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {3}, PAGES = {380-420}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {absolute factorization, absolute primality, polynomial factorization}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4NC4M8J-1/1/a2457c85fb884eda91f8b71f0865836f}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Fu-Niederreiter/07, AUTHOR = {Fu, Fang-Wei and Niederreiter, Harald}, TITLE = {On the counting function of the lattice profile of periodic sequences}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {423-435}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {periodic sequences, lattice profile, linear complexity, discrete fourier transform, expected value, variance, counting function}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4KJTNGB-1/1/da0606b2b2c8abf307b65d94f10b8948}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Dick-Pillichshammer/07, AUTHOR = {Dick, Josef and Pillichshammer, Friedrich}, TITLE = {Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {436-453}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {qmc algorithm, strong tractability, polynomial lattice rules}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4N3WYJ5-1/1/5fa5a3e8d1738d80d6726d641cd514d5}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Thamban_Nair-Pereverzev/07, AUTHOR = {Thamban Nair, M. and Pereverzev, Sergei V.}, TITLE = {Regularized collocation method for Fredholm integral equations of the first kind}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {454-467}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {ill-posed problems, collocation method, regularization, order optimal error bounds, general source conditions, operator monotone functions, a posteriori parameter choice}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4M7VB31-1/1/d78579bbb95a87b8bf2a3aab964f9923}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Triebel/07, AUTHOR = {Triebel, Hans}, TITLE = {Wavelet para-bases and sampling numbers in function spaces on domains}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {468-497}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {wavelets on domains, function spaces, sampling numbers, polynomial reproducing formulas}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MBC519-1/1/1e2dbc05781bfdd38c6c3bb9b620486c}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Lazarov-Margenov/07, AUTHOR = {Lazarov, R.D. and Margenov, S.D.}, TITLE = {CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {498-515}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {discontinuous galerkin, second order elliptic equation, graph-laplacian, multilevel preconditioning, cbs constant}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MM25XP-1/1/f3f6a731e2b397276ee7f22ed6cdc7c2}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Berkes-Philipp-Tichy/07, AUTHOR = {Berkes, Istv{\'a}n and Philipp, Walter and Tichy, Robert F.}, TITLE = {Pseudorandom numbers and entropy conditions}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {516-527}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {pseudorandomness, discrepancy, well-distribution measure, metric entropy}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MX56F9-3/1/bae7ab346f47f1f522d01cafc7d3896a}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Hesse-Mhaskar-Sloan/07, AUTHOR = {Hesse, K. and Mhaskar, H.N. and Sloan, I.H.}, TITLE = {Quadrature in Besov spaces on the Euclidean sphere}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {528-552}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {besov spaces on the sphere, numerical integration, polynomial frames, quadrature formulas on the sphere, sphere}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MP5KPC-1/1/fa4498f7425b08fed625e091b7a6dbfb}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Werschulz/07, AUTHOR = {Werschulz, Arthur G.}, TITLE = {A note on the complexity and tractability of the heat equation}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {553-559}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {heat equation, information-based complexity, tractability, weighted reproducing kernel hilbert spaces}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4N2TS1D-1/1/17fadaef81858bc8efb6d3b954a8bcbf}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Butcher-Jackiewicz-Wright/07, AUTHOR = {Butcher, J.C. and Jackiewicz, Z. and Wright, W.M.}, TITLE = {Error propagation of general linear methods for ordinary differential equations}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {560-580}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {general linear methods, nordsieck representation, error propagation, local error estimation for methods of adjacent orders, adaptive stepsize selection, stability analysis}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4NC38T5-2/1/f9827ced0b90d0d914934cb488b16af1}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Dick-Kritzer-Pillichshammer-Schmid/07, AUTHOR = {Dick, Josef and Kritzer, Peter and Pillichshammer, Friedrich and Schmid, Wolfgang Ch.}, TITLE = {On the existence of higher order polynomial lattices based on a generalized figure of merit}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {581-593}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {digital net, polynomial lattice, figure of merit}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MY0MGH-1/1/d7375a4dcddc6082d70c7acf1bfcbbc7}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Cucker-Briquel/07, AUTHOR = {Cucker, Felipe and Briquel, Ir{\'e}n{\'e}e}, TITLE = {A note on parallel and alternating time}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {594-602}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {complexity classes, parallelism, alternation}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4NB99DH-3/1/6009e59eff01c776ec62d2f80b8a519e}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Gill-Lemieux/07, AUTHOR = {Gill, Hardeep S. and Lemieux, Christiane}, TITLE = {Searching for extensible Korobov rules}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {603-613}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {lattice sequences, korobov rules, highly uniform point sets}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4N0PPTM-2/1/0df032d82a8d1b984a30a48c2ae13de5}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Dahlke-Novak-Sickel/07, AUTHOR = {Dahlke, Stephan and Novak, Erich and Sickel, Winfried}, TITLE = {Optimal approximation of elliptic problems by linear and nonlinear mappings III: Frames}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {614-648}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {elliptic operator equation, worst case error, frames, nonlinear approximation methods, best n-term approximation: manifold width, besov spaces on lipschitz domains}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4N85B4B-1/1/9925c319102ed07a6f506419c825b9fb}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Dick/07, AUTHOR = {Dick, Josef}, TITLE = {A note on the existence of sequences with small star discrepancy}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {649-652}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {star discrepancy, tractability, sequence}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4MYD63Y-1/1/bfd67d28d7a7ae7f805f3534dd8b32a7}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Osipenko-Wedenskaya/07, AUTHOR = {Osipenko, K.Yu. and Wedenskaya, E.V.}, TITLE = {Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data}, JOURNAL = {J. Complexity}, VOLUME = {23}, NUMBER = {4-6}, PAGES = {653-661}, YEAR = {2007}, EDITOR = {Traub, Joseph F.}, KEYWORDS = {optimal recovery, heat equation, inaccurate information}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4NC38T5-1/1/bfdd1fc209e5a6496927d1ff293692cb}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Chen-Travaglini/07, AUTHOR = {Chen, W.W.L. and Travaglini, G.}, TITLE = {Discrepancy with respect to convex polygons}, JOURNAL = {J. 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